TSTP Solution File: LAT345+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LAT345+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:28:01 EDT 2023
% Result : Theorem 22.52s 4.75s
% Output : Refutation 22.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 91
% Syntax : Number of formulae : 153 ( 21 unt; 31 typ; 0 def)
% Number of atoms : 388 ( 46 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1207 ( 84 ~; 2 |; 153 &; 857 @)
% ( 3 <=>; 108 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 53 ( 53 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 31 usr; 2 con; 0-3 aty)
% Number of variables : 245 ( 0 ^; 207 !; 38 ?; 245 :)
% Comments :
%------------------------------------------------------------------------------
thf(v3_conlat_1_type,type,
v3_conlat_1: $i > $o ).
thf(v4_conlat_1_type,type,
v4_conlat_1: $i > $o ).
thf(l2_conlat_1_type,type,
l2_conlat_1: $i > $o ).
thf(v6_conlat_1_type,type,
v6_conlat_1: $i > $i > $o ).
thf(v7_conlat_1_type,type,
v7_conlat_1: $i > $i > $o ).
thf(v9_conlat_1_type,type,
v9_conlat_1: $i > $i > $o ).
thf(l3_conlat_1_type,type,
l3_conlat_1: $i > $i > $o ).
thf(k9_conlat_2_type,type,
k9_conlat_2: $i > $i > $i ).
thf(k7_conlat_2_type,type,
k7_conlat_2: $i > $i ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(v1_relat_1_type,type,
v1_relat_1: $i > $o ).
thf(k4_relat_1_type,type,
k4_relat_1: $i > $i ).
thf(m1_relset_1_type,type,
m1_relset_1: $i > $i > $i > $o ).
thf(k6_relset_1_type,type,
k6_relset_1: $i > $i > $i > $i ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(m2_relset_1_type,type,
m2_relset_1: $i > $i > $i > $o ).
thf(k2_zfmisc_1_type,type,
k2_zfmisc_1: $i > $i > $i ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(l1_conlat_1_type,type,
l1_conlat_1: $i > $o ).
thf(u1_conlat_1_type,type,
u1_conlat_1: $i > $i ).
thf(u2_conlat_1_type,type,
u2_conlat_1: $i > $i ).
thf(g3_conlat_1_type,type,
g3_conlat_1: $i > $i > $i > $i ).
thf(g2_conlat_1_type,type,
g2_conlat_1: $i > $i > $i > $i ).
thf(u3_conlat_1_type,type,
u3_conlat_1: $i > $i ).
thf(k8_conlat_2_type,type,
k8_conlat_2: $i > $i > $i ).
thf(u4_conlat_1_type,type,
u4_conlat_1: $i > $i > $i ).
thf(u5_conlat_1_type,type,
u5_conlat_1: $i > $i > $i ).
thf(v8_conlat_1_type,type,
v8_conlat_1: $i > $i > $o ).
thf(24,axiom,
v1_xboole_0 @ k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
thf(125,plain,
v1_xboole_0 @ k1_xboole_0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(8,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
thf(84,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(39,axiom,
! [A: $i,B: $i] :
( ( ( l1_conlat_1 @ A )
& ( l3_conlat_1 @ B @ A ) )
=> ( m1_subset_1 @ ( u4_conlat_1 @ A @ B ) @ ( k1_zfmisc_1 @ ( u1_conlat_1 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u4_conlat_1) ).
thf(181,plain,
! [A: $i,B: $i] :
( ( ( l1_conlat_1 @ A )
& ( l3_conlat_1 @ B @ A ) )
=> ( m1_subset_1 @ ( u4_conlat_1 @ A @ B ) @ ( k1_zfmisc_1 @ ( u1_conlat_1 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(45,axiom,
? [A: $i] : ( l2_conlat_1 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_conlat_1) ).
thf(199,plain,
? [A: $i] : ( l2_conlat_1 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(72,plain,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(22,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
thf(119,plain,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(40,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A )
& ~ ( v7_conlat_1 @ B @ A )
& ( v9_conlat_1 @ B @ A )
& ( l3_conlat_1 @ B @ A ) )
=> ( ( k9_conlat_2 @ A @ B )
= ( k8_conlat_2 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_conlat_2) ).
thf(183,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A )
& ~ ( v7_conlat_1 @ B @ A )
& ( v9_conlat_1 @ B @ A )
& ( l3_conlat_1 @ B @ A ) )
=> ( ( k9_conlat_2 @ A @ B )
= ( k8_conlat_2 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(29,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
& ( v1_xboole_0 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
thf(138,plain,
! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
& ( v1_xboole_0 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( m2_relset_1 @ ( k6_relset_1 @ A @ B @ C ) @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_1) ).
thf(101,plain,
! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( m2_relset_1 @ ( k6_relset_1 @ A @ B @ C ) @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(56,axiom,
! [A: $i,B: $i] :
( ( ( l1_conlat_1 @ A )
& ( l3_conlat_1 @ B @ A ) )
=> ( ( v6_conlat_1 @ B @ A )
=> ( B
= ( g3_conlat_1 @ A @ ( u4_conlat_1 @ A @ B ) @ ( u5_conlat_1 @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v6_conlat_1) ).
thf(234,plain,
! [A: $i,B: $i] :
( ( ( l1_conlat_1 @ A )
& ( l3_conlat_1 @ B @ A ) )
=> ( ( v6_conlat_1 @ B @ A )
=> ( B
= ( g3_conlat_1 @ A @ ( u4_conlat_1 @ A @ B ) @ ( u5_conlat_1 @ A @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(20,axiom,
? [A: $i] : ( l1_conlat_1 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_conlat_1) ).
thf(115,plain,
? [A: $i] : ( l1_conlat_1 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(61,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ? [B: $i] :
( ( l3_conlat_1 @ B @ A )
& ( v6_conlat_1 @ B @ A )
& ( v8_conlat_1 @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc12_conlat_1) ).
thf(247,plain,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ? [B: $i] :
( ( l3_conlat_1 @ B @ A )
& ( v6_conlat_1 @ B @ A )
& ( v8_conlat_1 @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(42,axiom,
? [A: $i] :
( ( l2_conlat_1 @ A )
& ~ ( v3_conlat_1 @ A )
& ( v4_conlat_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc7_conlat_1) ).
thf(189,plain,
? [A: $i] :
( ( l2_conlat_1 @ A )
& ~ ( v3_conlat_1 @ A )
& ( v4_conlat_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(6,axiom,
! [A: $i] :
( ( v1_relat_1 @ A )
=> ( ( k4_relat_1 @ ( k4_relat_1 @ A ) )
= A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k4_relat_1) ).
thf(78,plain,
! [A: $i] :
( ( v1_relat_1 @ A )
=> ( ( k4_relat_1 @ ( k4_relat_1 @ A ) )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(52,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u2_conlat_1 @ A ) ) )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc9_conlat_1) ).
thf(221,plain,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u2_conlat_1 @ A ) ) )
& ~ ( v1_xboole_0 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
thf(133,plain,
! [A: $i,B: $i] :
( ( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
=> ( r1_tarski @ A @ B ) )
& ( ( r1_tarski @ A @ B )
=> ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(4,axiom,
! [A: $i,B: $i] : ( r1_tarski @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
thf(74,plain,
! [A: $i] : ( r1_tarski @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(47,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ~ ( v3_conlat_1 @ ( k7_conlat_2 @ A ) )
& ( v4_conlat_1 @ ( k7_conlat_2 @ A ) )
& ( l2_conlat_1 @ ( k7_conlat_2 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_conlat_2) ).
thf(206,plain,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ~ ( v3_conlat_1 @ ( k7_conlat_2 @ A ) )
& ( v4_conlat_1 @ ( k7_conlat_2 @ A ) )
& ( l2_conlat_1 @ ( k7_conlat_2 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(21,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
=> ( m1_subset_1 @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
thf(117,plain,
! [A: $i,B: $i,C: $i] :
( ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
=> ( m1_subset_1 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(46,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A )
& ~ ( v7_conlat_1 @ B @ A )
& ( v9_conlat_1 @ B @ A )
& ( l3_conlat_1 @ B @ A ) )
=> ( ( v6_conlat_1 @ ( k9_conlat_2 @ A @ B ) @ ( k7_conlat_2 @ A ) )
& ~ ( v7_conlat_1 @ ( k9_conlat_2 @ A @ B ) @ ( k7_conlat_2 @ A ) )
& ( v9_conlat_1 @ ( k9_conlat_2 @ A @ B ) @ ( k7_conlat_2 @ A ) )
& ( l3_conlat_1 @ ( k9_conlat_2 @ A @ B ) @ ( k7_conlat_2 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_conlat_2) ).
thf(201,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A )
& ~ ( v7_conlat_1 @ B @ A )
& ( v9_conlat_1 @ B @ A )
& ( l3_conlat_1 @ B @ A ) )
=> ( ( v6_conlat_1 @ ( k9_conlat_2 @ A @ B ) @ ( k7_conlat_2 @ A ) )
& ~ ( v7_conlat_1 @ ( k9_conlat_2 @ A @ B ) @ ( k7_conlat_2 @ A ) )
& ( v9_conlat_1 @ ( k9_conlat_2 @ A @ B ) @ ( k7_conlat_2 @ A ) )
& ( l3_conlat_1 @ ( k9_conlat_2 @ A @ B ) @ ( k7_conlat_2 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_subset_1) ).
thf(92,plain,
! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(55,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ? [B: $i] :
( ( l3_conlat_1 @ B @ A )
& ( v6_conlat_1 @ B @ A )
& ~ ( v7_conlat_1 @ B @ A )
& ( v9_conlat_1 @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc14_conlat_1) ).
thf(229,plain,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ? [B: $i] :
( ( l3_conlat_1 @ B @ A )
& ( v6_conlat_1 @ B @ A )
& ~ ( v7_conlat_1 @ B @ A )
& ( v9_conlat_1 @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(44,axiom,
! [A: $i] :
( ( l2_conlat_1 @ A )
=> ( l1_conlat_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_conlat_1) ).
thf(197,plain,
! [A: $i] :
( ( l2_conlat_1 @ A )
=> ( l1_conlat_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
=> ( v1_relat_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
thf(97,plain,
! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
=> ( v1_relat_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(53,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A )
& ( l3_conlat_1 @ B @ A ) )
=> ( ( v6_conlat_1 @ ( k8_conlat_2 @ A @ B ) @ ( k7_conlat_2 @ A ) )
& ( l3_conlat_1 @ ( k8_conlat_2 @ A @ B ) @ ( k7_conlat_2 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_conlat_2) ).
thf(224,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A )
& ( l3_conlat_1 @ B @ A ) )
=> ( ( v6_conlat_1 @ ( k8_conlat_2 @ A @ B ) @ ( k7_conlat_2 @ A ) )
& ( l3_conlat_1 @ ( k8_conlat_2 @ A @ B ) @ ( k7_conlat_2 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(37,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ! [B: $i] :
( ( l3_conlat_1 @ B @ A )
=> ! [C: $i] :
( ( ( v6_conlat_1 @ C @ ( k7_conlat_2 @ A ) )
& ( l3_conlat_1 @ C @ ( k7_conlat_2 @ A ) ) )
=> ( ( C
= ( k8_conlat_2 @ A @ B ) )
<=> ( ( ( u4_conlat_1 @ ( k7_conlat_2 @ A ) @ C )
= ( u5_conlat_1 @ A @ B ) )
& ( ( u5_conlat_1 @ ( k7_conlat_2 @ A ) @ C )
= ( u4_conlat_1 @ A @ B ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_conlat_2) ).
thf(169,plain,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ! [B: $i] :
( ( l3_conlat_1 @ B @ A )
=> ! [C: $i] :
( ( ( v6_conlat_1 @ C @ ( k7_conlat_2 @ A ) )
& ( l3_conlat_1 @ C @ ( k7_conlat_2 @ A ) ) )
=> ( ( ( C
= ( k8_conlat_2 @ A @ B ) )
=> ( ( ( u4_conlat_1 @ ( k7_conlat_2 @ A ) @ C )
= ( u5_conlat_1 @ A @ B ) )
& ( ( u5_conlat_1 @ ( k7_conlat_2 @ A ) @ C )
= ( u4_conlat_1 @ A @ B ) ) ) )
& ( ( ( ( u4_conlat_1 @ ( k7_conlat_2 @ A ) @ C )
= ( u5_conlat_1 @ A @ B ) )
& ( ( u5_conlat_1 @ ( k7_conlat_2 @ A ) @ C )
= ( u4_conlat_1 @ A @ B ) ) )
=> ( C
= ( k8_conlat_2 @ A @ B ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(30,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( l1_conlat_1 @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_conlat_1 @ A ) ) )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u2_conlat_1 @ A ) ) ) )
=> ! [D: $i,E: $i,F: $i] :
( ( ( g3_conlat_1 @ A @ B @ C )
= ( g3_conlat_1 @ D @ E @ F ) )
=> ( ( A = D )
& ( B = E )
& ( C = F ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_conlat_1) ).
thf(141,plain,
! [A: $i,B: $i,C: $i] :
( ( ( l1_conlat_1 @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_conlat_1 @ A ) ) )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u2_conlat_1 @ A ) ) ) )
=> ! [D: $i,E: $i,F: $i] :
( ( ( g3_conlat_1 @ A @ B @ C )
= ( g3_conlat_1 @ D @ E @ F ) )
=> ( ( A = D )
& ( B = E )
& ( C = F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(17,axiom,
! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
thf(109,plain,
! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(43,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ? [B: $i] :
( ( l3_conlat_1 @ B @ A )
& ( v6_conlat_1 @ B @ A )
& ~ ( v7_conlat_1 @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc11_conlat_1) ).
thf(193,plain,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ? [B: $i] :
( ( l3_conlat_1 @ B @ A )
& ( v6_conlat_1 @ B @ A )
& ~ ( v7_conlat_1 @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(49,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( v4_conlat_1 @ ( g2_conlat_1 @ A @ B @ C ) )
& ( l2_conlat_1 @ ( g2_conlat_1 @ A @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g2_conlat_1) ).
thf(212,plain,
! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( v4_conlat_1 @ ( g2_conlat_1 @ A @ B @ C ) )
& ( l2_conlat_1 @ ( g2_conlat_1 @ A @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(16,axiom,
! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
thf(105,plain,
! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(26,axiom,
! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
thf(128,plain,
! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(57,axiom,
! [A: $i] :
( ( ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ! [B: $i] :
( ( l3_conlat_1 @ B @ A )
=> ( v8_conlat_1 @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_conlat_1) ).
thf(237,plain,
! [A: $i] :
( ( ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ! [B: $i] :
( ( l3_conlat_1 @ B @ A )
=> ( v8_conlat_1 @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(36,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ( k7_conlat_2 @ A )
= ( g2_conlat_1 @ ( u2_conlat_1 @ A ) @ ( u1_conlat_1 @ A ) @ ( k6_relset_1 @ ( u1_conlat_1 @ A ) @ ( u2_conlat_1 @ A ) @ ( u3_conlat_1 @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_conlat_2) ).
thf(166,plain,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ( k7_conlat_2 @ A )
= ( g2_conlat_1 @ ( u2_conlat_1 @ A ) @ ( u1_conlat_1 @ A ) @ ( k6_relset_1 @ ( u1_conlat_1 @ A ) @ ( u2_conlat_1 @ A ) @ ( u3_conlat_1 @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ! [D: $i,E: $i,F: $i] :
( ( ( g2_conlat_1 @ A @ B @ C )
= ( g2_conlat_1 @ D @ E @ F ) )
=> ( ( A = D )
& ( B = E )
& ( C = F ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g2_conlat_1) ).
thf(148,plain,
! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ! [D: $i,E: $i,F: $i] :
( ( ( g2_conlat_1 @ A @ B @ C )
= ( g2_conlat_1 @ D @ E @ F ) )
=> ( ( A = D )
& ( B = E )
& ( C = F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(34,axiom,
! [A: $i] :
( ( l2_conlat_1 @ A )
=> ( m2_relset_1 @ ( u3_conlat_1 @ A ) @ ( u1_conlat_1 @ A ) @ ( u2_conlat_1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u3_conlat_1) ).
thf(161,plain,
! [A: $i] :
( ( l2_conlat_1 @ A )
=> ( m2_relset_1 @ ( u3_conlat_1 @ A ) @ ( u1_conlat_1 @ A ) @ ( u2_conlat_1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
thf(113,plain,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( k6_relset_1 @ A @ B @ C )
= ( k4_relat_1 @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
thf(81,plain,
! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( k6_relset_1 @ A @ B @ C )
= ( k4_relat_1 @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [A: $i] :
( ( v1_relat_1 @ A )
=> ( v1_relat_1 @ ( k4_relat_1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_relat_1) ).
thf(76,plain,
! [A: $i] :
( ( v1_relat_1 @ A )
=> ( v1_relat_1 @ ( k4_relat_1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(60,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ~ ( v1_xboole_0 @ ( u2_conlat_1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_conlat_1) ).
thf(245,plain,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ~ ( v1_xboole_0 @ ( u2_conlat_1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
thf(103,plain,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(32,axiom,
? [A: $i] :
~ ( v1_xboole_0 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
thf(155,plain,
? [A: $i] :
~ ( v1_xboole_0 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(27,axiom,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
thf(130,plain,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(59,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ? [B: $i] :
( ( l3_conlat_1 @ B @ A )
& ~ ( v7_conlat_1 @ B @ A )
& ( v9_conlat_1 @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc13_conlat_1) ).
thf(241,plain,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ? [B: $i] :
( ( l3_conlat_1 @ B @ A )
& ~ ( v7_conlat_1 @ B @ A )
& ( v9_conlat_1 @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
thf(99,plain,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
<=> ( m1_relset_1 @ C @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
thf(87,plain,
! [A: $i,B: $i,C: $i] :
( ( ( m2_relset_1 @ C @ A @ B )
=> ( m1_relset_1 @ C @ A @ B ) )
& ( ( m1_relset_1 @ C @ A @ B )
=> ( m2_relset_1 @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(51,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( l1_conlat_1 @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_conlat_1 @ A ) ) )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u2_conlat_1 @ A ) ) ) )
=> ( ( v6_conlat_1 @ ( g3_conlat_1 @ A @ B @ C ) @ A )
& ( l3_conlat_1 @ ( g3_conlat_1 @ A @ B @ C ) @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g3_conlat_1) ).
thf(218,plain,
! [A: $i,B: $i,C: $i] :
( ( ( l1_conlat_1 @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_conlat_1 @ A ) ) )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u2_conlat_1 @ A ) ) ) )
=> ( ( v6_conlat_1 @ ( g3_conlat_1 @ A @ B @ C ) @ A )
& ( l3_conlat_1 @ ( g3_conlat_1 @ A @ B @ C ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(33,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
thf(158,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(41,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_conlat_1 @ A ) ) )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc8_conlat_1) ).
thf(186,plain,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_conlat_1 @ A ) ) )
& ~ ( v1_xboole_0 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(48,axiom,
! [A: $i,B: $i] :
( ( ( l1_conlat_1 @ A )
& ( l3_conlat_1 @ B @ A ) )
=> ( m1_subset_1 @ ( u5_conlat_1 @ A @ B ) @ ( k1_zfmisc_1 @ ( u2_conlat_1 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u5_conlat_1) ).
thf(210,plain,
! [A: $i,B: $i] :
( ( ( l1_conlat_1 @ A )
& ( l3_conlat_1 @ B @ A ) )
=> ( m1_subset_1 @ ( u5_conlat_1 @ A @ B ) @ ( k1_zfmisc_1 @ ( u2_conlat_1 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(58,axiom,
! [A: $i] :
( ( l1_conlat_1 @ A )
=> ? [B: $i] : ( l3_conlat_1 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l3_conlat_1) ).
thf(239,plain,
! [A: $i] :
( ( l1_conlat_1 @ A )
=> ? [B: $i] : ( l3_conlat_1 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(25,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(126,plain,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(11,axiom,
! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
thf(94,plain,
! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(35,axiom,
! [A: $i] :
( ( l1_conlat_1 @ A )
=> ? [B: $i] :
( ( l3_conlat_1 @ B @ A )
& ( v6_conlat_1 @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc10_conlat_1) ).
thf(163,plain,
! [A: $i] :
( ( l1_conlat_1 @ A )
=> ? [B: $i] :
( ( l3_conlat_1 @ B @ A )
& ( v6_conlat_1 @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(1,conjecture,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( v4_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ! [B: $i] :
( ( ( v6_conlat_1 @ B @ A )
& ~ ( v7_conlat_1 @ B @ A )
& ( v9_conlat_1 @ B @ A )
& ( l3_conlat_1 @ B @ A ) )
=> ( ( k9_conlat_2 @ ( k7_conlat_2 @ A ) @ ( k9_conlat_2 @ A @ B ) )
= B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_conlat_2) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( v4_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ! [B: $i] :
( ( ( v6_conlat_1 @ B @ A )
& ~ ( v7_conlat_1 @ B @ A )
& ( v9_conlat_1 @ B @ A )
& ( l3_conlat_1 @ B @ A ) )
=> ( ( k9_conlat_2 @ ( k7_conlat_2 @ A ) @ ( k9_conlat_2 @ A @ B ) )
= B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(62,plain,
~ ! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( v4_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ! [B: $i] :
( ( ( v6_conlat_1 @ B @ A )
& ~ ( v7_conlat_1 @ B @ A )
& ( v9_conlat_1 @ B @ A )
& ( l3_conlat_1 @ B @ A ) )
=> ( ( k9_conlat_2 @ ( k7_conlat_2 @ A ) @ ( k9_conlat_2 @ A @ B ) )
= B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(38,axiom,
! [A: $i] :
( ( l2_conlat_1 @ A )
=> ( ( v4_conlat_1 @ A )
=> ( A
= ( g2_conlat_1 @ ( u1_conlat_1 @ A ) @ ( u2_conlat_1 @ A ) @ ( u3_conlat_1 @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v4_conlat_1) ).
thf(178,plain,
! [A: $i] :
( ( l2_conlat_1 @ A )
=> ( ( v4_conlat_1 @ A )
=> ( A
= ( g2_conlat_1 @ ( u1_conlat_1 @ A ) @ ( u2_conlat_1 @ A ) @ ( u3_conlat_1 @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(18,axiom,
? [A: $i] : ( v1_xboole_0 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
thf(111,plain,
? [A: $i] : ( v1_xboole_0 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(54,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_conlat_1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_conlat_1) ).
thf(227,plain,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_conlat_1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( k6_relset_1 @ A @ B @ ( k6_relset_1 @ A @ B @ C ) )
= C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k6_relset_1) ).
thf(122,plain,
! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( k6_relset_1 @ A @ B @ ( k6_relset_1 @ A @ B @ C ) )
= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(50,axiom,
? [A: $i] :
( ( l2_conlat_1 @ A )
& ( v4_conlat_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_conlat_1) ).
thf(215,plain,
? [A: $i] :
( ( l2_conlat_1 @ A )
& ( v4_conlat_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(3093,plain,
$false,
inference(cvc4,[status(thm)],[125,84,181,199,72,119,183,138,101,234,115,247,189,78,221,133,74,206,117,201,92,229,197,97,224,169,141,109,193,212,105,128,237,166,148,161,113,81,76,245,103,155,130,241,99,87,218,158,186,210,239,126,94,163,62,178,111,227,122,215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT345+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 14:24:59 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.91/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.28/1.04 % [INFO] Parsing done (163ms).
% 1.28/1.05 % [INFO] Running in sequential loop mode.
% 1.76/1.29 % [INFO] eprover registered as external prover.
% 1.76/1.29 % [INFO] cvc4 registered as external prover.
% 1.76/1.30 % [INFO] Scanning for conjecture ...
% 2.03/1.38 % [INFO] Found a conjecture and 68 axioms. Running axiom selection ...
% 2.03/1.44 % [INFO] Axiom selection finished. Selected 59 axioms (removed 9 axioms).
% 2.44/1.51 % [INFO] Problem is first-order (TPTP FOF).
% 2.44/1.51 % [INFO] Type checking passed.
% 2.44/1.52 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 22.52/4.74 % External prover 'cvc4' found a proof!
% 22.52/4.74 % [INFO] Killing All external provers ...
% 22.52/4.75 % Time passed: 4239ms (effective reasoning time: 3691ms)
% 22.52/4.75 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 22.52/4.75 % Axioms used in derivation (59): dt_k6_relset_1, dt_u3_conlat_1, rc5_conlat_1, existence_m1_relset_1, cc2_conlat_1, dt_u5_conlat_1, rc8_conlat_1, dt_k9_conlat_2, redefinition_m2_relset_1, rc14_conlat_1, fc2_conlat_1, fc1_xboole_0, t1_subset, fc1_conlat_1, fc4_subset_1, abstractness_v6_conlat_1, dt_m2_relset_1, rc12_conlat_1, d8_conlat_2, redefinition_k6_relset_1, involutiveness_k6_relset_1, existence_l3_conlat_1, t6_boole, rc2_subset_1, rc9_conlat_1, t5_subset, dt_k4_relat_1, t4_subset, existence_l2_conlat_1, free_g3_conlat_1, involutiveness_k4_relat_1, d7_conlat_2, t7_boole, fc1_subset_1, rc7_conlat_1, rc1_subset_1, rc10_conlat_1, t3_subset, dt_g2_conlat_1, existence_m1_subset_1, cc1_relset_1, redefinition_k9_conlat_2, dt_k8_conlat_2, existence_m2_relset_1, rc11_conlat_1, existence_l1_conlat_1, dt_g3_conlat_1, dt_u4_conlat_1, reflexivity_r1_tarski, dt_k7_conlat_2, t8_boole, rc1_xboole_0, t2_subset, abstractness_v4_conlat_1, free_g2_conlat_1, rc2_xboole_0, dt_l2_conlat_1, rc13_conlat_1, antisymmetry_r2_hidden
% 22.52/4.75 % No. of inferences in proof: 122
% 22.52/4.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4239 ms resp. 3691 ms w/o parsing
% 22.52/4.81 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 22.52/4.81 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------